The floods and mudslides occurred in seven townships in the province, China's official Xinhua News Agency reported Saturday.
Power lines and roads to nine villages have been cut due to heavy rains, government officials said. Rescue crews and government officials have been dispatched to these villages to assess damage there.
Government officials in Tianshui said helicopters, excavators, generators, medicine and food, tents and quilts were needed for relief efforts.
Heavy rains are expected to persist in the area for the next few days.